3282429696 has 288 divisors, whose sum is σ = 10928107008. Its totient is φ = 851558400.

The previous prime is 3282429653. The next prime is 3282429713. The reversal of 3282429696 is 6969242823.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4682146 + ... + 4682846.

It is an arithmetic number, because the mean of its divisors is an integer number (37944816).

Almost surely, 2^3282429696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3282429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464053504).

3282429696 is an abundant number, since it is smaller than the sum of its proper divisors (7645677312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3282429696 is a wasteful number, since it uses less digits than its factorization.

3282429696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 793 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The square root of 3282429696 is about 57292.4924924723. The cubic root of 3282429696 is about 1486.1585499250.

The spelling of 3282429696 in words is "three billion, two hundred eighty-two million, four hundred twenty-nine thousand, six hundred ninety-six".